High Energy QCD: Stringy Picture from Hidden Integrability

Abstract

We discuss the stringy properties of high-energy QCD using its hidden integrability in the Regge limit and on the light-cone. It is shown that multi-colour QCD in the Regge limit belongs to the same universality class as superconformal $\mathcal{N}$=2 SUSY YM with $N_f=2N_c$ at the strong coupling orbifold point. The analogy with integrable structure governing the low energy sector of $\mathcal{N}$=2 SUSY gauge theories is used to develop the brane picture for the Regge limit. In this picture the scattering process is described by a single M2 brane wrapped around the spectral curve of the integrable spin chain and unifying hadrons and reggeized gluons involved in the process. New quasiclassical quantization conditions for the complex higher integrals of motion are suggested which are consistent with the $S-$duality of the multi-reggeon spectrum. The derivation of the anomalous dimensions of the lowest twist operators is formulated in terms of the Riemann surfaces

37 pages, 3 figures

References in corpus (9)

• Hard Scattering and Gauge/String Duality
• Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
• High energy QCD scattering, the shape of gravity on an IR brane, and the Froissart bound
• Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• Solution of the multi-reggeon compound state problem in multi-colour QCD
• String Theory and the Size of Hadrons
• Reggeon exchange from AdS/CFT
• Integrable Many-Body Systems and Gauge Theories

Cited by in corpus (16)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Gauge/string duality for QCD conformal operators
• Spinning strings and AdS/CFT duality
• Superconformal operators in N=4 super-Yang-Mills theory
• Separation of variables for the quantum SL(2,R) spin chain
• On spin chains and field theories
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Noncompact Heisenberg spin magnets from high-energy QCD: II. Quantization conditions and energy spectrum
• RG-Whitham dynamics and complex Hamiltonian systems
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
• Gauge Theories as String Theories: the First Results
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Light-cone SU(2) Yang-Mills theory and conformal mechanics
• From QCD Strings to WZW
• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains